On the degree-Kirchhoff index, Gutman index and the Schultz index of pentagonal cylinder/ Möbius chain

02/14/2023

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by   Md. Abdus Sahir, et al.

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The degree-Kirchhoff index of a graph is given by the sum of inverses of non-zero eigenvalues of the normalized Laplacian matrix of the graph multiplied with the total degree of the graph. Explicit formulas for the degree-Kirchhoff index of various types of cylinder chain and Möbius chain have been obtained by many researchers in the recent past. In the present paper, we obtain closed-form formulas for the degree-Kirchhoff index of pentagonal cylinder/ Möbius chain. Also we find here the Gutman index and the Schultz index for those graphs.